{
 "metadata": {
  "name": "",
  "signature": "sha256:11c5c6c1c7e752831f94a44397ec1b05c0bb7fa04a6a6c45f223ec471c9d2684"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h2>Visualising 2D Gaussians</h2>\n",
      "<p>The multi-variate Gaussian pdf is given by:\n",
      "$$ p(\\mathbf{x}|\\boldsymbol\\mu,\\boldsymbol\\Sigma) = \\frac{1}{(2\\pi)^{D/2}}\\frac{1}{|\\boldsymbol\\Sigma|^{1/2}}\\exp\\left\\{-\\frac{1}{2}(\\mathbf{x} - \\boldsymbol\\mu)^T\\boldsymbol\\Sigma^{-1}(\\mathbf{x}-\\boldsymbol\\mu)\\right\\} $$\n",
      "In two dimensions, we can visualise this with contour and surface plots. We start by defining the mean and covariance.</p>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "mu = np.zeros((2,1))\n",
      "mu[0] = 1\n",
      "mu[1] = 2\n",
      "sigma = np.zeros((2,2))\n",
      "sigma[0][0] = 1\n",
      "sigma[1][1] = 1\n",
      "sigma[0][1] = 0.8\n",
      "sigma[1][0] = 0.8"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<p>We now define a grid and evaluate the pdf over the grid</p>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def gaussian2d(mu,sigma,xvals,yvals):\n",
      "    const = (1.0/(2.0*np.pi))*(1.0/np.sqrt(np.linalg.det(sigma)))\n",
      "    si = np.linalg.inv(sigma)\n",
      "    xv = xvals-mu[0]\n",
      "    yv = yvals-mu[0]\n",
      "    return const * np.exp(-0.5*(xv*xv*si[0][0] + xv*yv*si[1][0] + yv*xv*si[0][1] + yv*yv*si[1][1]))\n",
      "\n",
      "\n",
      "x = np.arange(-2,4,0.1)\n",
      "y = np.arange(-2,4,0.1)\n",
      "X,Y = np.meshgrid(x,y)\n",
      "Z = gaussian2d(mu,sigma,X,Y)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<p>Draw a contour of the pdf</p>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pylab as plt\n",
      "%matplotlib inline\n",
      "CS = plt.contour(X,Y,Z)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAD7CAYAAAChScXIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1053f07d0>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<p>Draw a surface of the pdf</p>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from mpl_toolkits.mplot3d import Axes3D\n",
      "fig = plt.figure()\n",
      "ax = fig.add_subplot(111,projection='3d')\n",
      "ax.plot_surface(X,Y,Z,rstride=2,cstride=2)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x10578b190>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTAPSMibEjyfZJEIIIYQQQgghhBAi3P4PwgSjuyZWG9oAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1057263d0>"
       ]
      }
     ],
     "prompt_number": 14
    }
   ],
   "metadata": {}
  }
 ]
}